Advertisements
Advertisements
प्रश्न
Expand the following:
(−p + 2q + 3r)2
Advertisements
उत्तर
(−p + 2q + 3r)2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(−p + 2q + 3r)2 = (−p)2 + (2q)2 + (3r)2 + 2(−p)(2q) + 2(2q)(3r) + 2(−p)(3r)
= p2 + 4q2 + 9r2 – 4pq +12qr – 6rp
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (79)2 − (69)2
Find the following product: (y2 − 4) (y2 − 3)
Find the following product: (2x2 − 3) (2x2 + 5)
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Expand the following:
(2p + 3) (2p – 4) (2p – 5)
Simplify:
(3x + 2y)2 + (3x – 2y)2
Expand the following, using suitable identities.
(7x + 5)2
Carry out the following division:
–121p3q3r3 ÷ (–11xy2z3)
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
